My OR crashes at Littleroot town (randomly, so I can do whatever I need to in a few attempts) and when entering E4 Sidney´s room (before the room loads, and always).
It would also crash when certain Dustoxes were to appear on screen, but not all of them, and when I received Caterpie over wonder trade. This does no longer happen, as I have both of these registered in my PokéDex.
Do you have any experience with ORAS crashing?
EDIT (18.III.2017): I have tried the game on another system with the same results. Therefore, the game is broken.